The energy required to increase the temperature of $180 \ g$ of liquid water from $10^{\circ} C$ to $15^{\circ} C$ is $3765 \ J$. What is $C_{p}$ of water in $J \ mol^{-1} \ K^{-1}$ ? $(H_2O = 18 \ u)$

The molar heat capacity of water at constant pressure is $75 \, J \, K^{-1} \, mol^{-1}$. When $1.0 \, kJ$ of heat is supplied to $100 \, g$ of water which is free to expand,the increase in temperature of water is (in $, K$)

$20 \ cal$ of heat is required to increase the temperature of a $15 \ g$ piece of $Al$ metal from $25^{\circ}C$ to $30^{\circ}C$. Calculate the heat capacity,specific heat capacity,and molar heat capacity of the $Al$ piece. (Given: Atomic mass of $Al = 27 \ g \ mol^{-1}$)

For a reaction $H_{2(g)} + \frac{1}{2}O_{2(g)} \longrightarrow H_2O_{(l)}$; $\Delta C_p = 32 \ J \ K^{-1}$,$\Delta H$ at $27 \ ^oC = -285.8 \ kJ \ mol^{-1}$. What will be the value of $\Delta H$ at $127 \ ^oC$ in $kJ \ mol^{-1}$?

$4.48 \ L$ of an ideal gas at $1 \ atm$ and $273 \ K$ requires $12 \ cal$ to raise the temperature by $15 \ ^\circ C$ at constant volume. The $C_p$ of the gas is $... \ cal \ mol^{-1} K^{-1}$.

When a $60 \, W$ electric heater is immersed in a gas for $100 \, s$ in a constant volume container with adiabatic walls,the temperature of the gas rises by $5^{\circ} \, C$. The heat capacity of the given gas is $......... \, J \, K^{-1}$ (Nearest integer).